Does Russia stamp passports of foreign tourists while entering or exiting Russia? Deleting any element to the left of the median (center element or pair) has the same effect on the median, but affect the mean differently. Assume we solved the problem somehow for the array of size N and know the desired sum. There are about N^2/2 + N medians -- one for each element in the list, and one for each pair of elements. How can I correctly use LazySubsets from Wolfram's Lazy package? @kcsquared, this is really useful and very clearly explained. By using our site, you Dividing the items into subset in a way such that the difference in the summation of elements between the two subset is the maximum. Change of equilibrium constant with respect to temperature. Approach: The problem can be solved using two pointer technique. Maximize the sum of products of the degrees between any two vertices of the tree in C++, Count number of ways to partition a set into k subsets in C++, C++ Program to Generate All Subsets of a Given Set in the Lexico Graphic Order, C++ Program to Implement the Binary Counting Method to Generate Subsets of a Set. Our task is to create two subsets of that array such that the difference of their sum is maximum and no subset contains repetitive numbers. The only difference is that we need to iterate the elements of arr[] in non-increasing order. Thank you for your valuable feedback! How to Add Semicolon to Each Cell in Excel? Taking reference of answer of Bhaskar13 https://stackoverflow.com/a/59386801/3509609 , I solved it without using the bit shift operators, to add more readability. Complete and balance the following equations: $Na + O_2 $ $Na_2O + H_2O $ $Fe(s) + H_2O(g) \xrightarrow{red hot}$ $Cu(NO_3)(aq) + Zn $. The most important thing in this problem is to find the Subset. ( arr[i]=arr[i]*-1 ). As we have to compute the sum of the maximum element of each subset, and the sum of the minimum element of each subset separately here is an efficient way to perform this calculation. That shouldn't be much of a problem I am sure. Sort both parts L and R, then start choosing in pair lr maximal elements from both parts and with addition of every next element recompute mean, store arrangement with the best difference. I have an array with N elements. I need sum of all max min difference as mentioned in my post. The idea is to partition the array such that the maximum pair sum of each subset is minimized. Is "different coloured socks" not correct? C++ Program to Generate All Pairs of Subsets Whose Union Make the Set. Starting from left, traverse each element of array using for loop ( i=0;i Henry Oliver Kaufman, Engineering Failures Due To Ethics, Articles M